In October 1915, Einstein threw himself into a month-long frantic endeavor in which he returned to an earlier mathematical strategy and wrestled with equations, proofs, corrections and updates.

在1915年的10月，爱因斯坦投身于长达一个月的疯狂工作中。在此期间，他回顾了早先的一个数学策略，并且与方程式、证明法、修正法、数据更新等展开了一番搏斗。

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Einstein discovered to his horror that Hilbert had taken what he had learned from Einstein's lectures and was racing to come up with the correct equations first.

爱因斯坦惊恐地发现，希尔伯特把他从爱因斯坦的讲座中学到的东西都拿来了，而且还在争先恐后地首先提出正确的方程式。

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The discovery of the expansion of our Universe was already noticed by astronomer Hubble a long time ago in 1929, forcing Einstein to revise his famous equations about space, time and masses.

早在1929年，宇宙正在膨胀这一现象就已被天文学家哈勃所注意到，这让爱因斯坦不得不修改了他那项关于空间、时间和质量的著名方程式。

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Einstein's equations first written down in 1905 and 1915 are used to correct for this time-shift, allowing GPS to work, planes to navigate safely and you to get to your relations' house at the other end of the country without getting lost this Christmas.

BBC: Meet the world's director of time

We have been saying since 2005 in our paper at physicsnext.org that, while different observes will measure different times in many cases, Einstein time-dilation equations are wrong, and we give the correct equations.

FORBES: New Evidence Casts Doubt On Faster-Than-Light Neutrinos

Working on a theory to combine quantum mechanics with Einstein's special relativity, he realised his equations predicted a corresponding anti-particle for every particle in existence - identical in every respect, but with an opposite electrical charge.

BBC: The problem with anti-matter